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Finding the Fourth Proportional to 31,042.78, 46,527.69 and 14,367.59

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Solution

The fourth proportional to 31,042.78, 46,527.69 and 14,367.59 is: 21,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,042.78 : 46,527.69 = 14,367.59 : x
  2. Step 2: Convert to fraction form
    31,042.78/46,527.69 = 14,367.59/x
  3. Step 3: Cross multiply
    31,042.78x = 46,527.69 × 14,367.59
  4. Step 4: Simplify right side
    31,042.78x = 668,490,769.29
  5. Step 5: Solve for x
    x = 668,490,769.29/31,042.78
  6. Step 6: Final answer
    x = 21,534.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.